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Finding the Fourth Proportional to 7,696.90, 10,621.71 and 4,160.12

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Solution

The fourth proportional to 7,696.90, 10,621.71 and 4,160.12 is: 5,740.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,696.90 : 10,621.71 = 4,160.12 : x
  2. Step 2: Convert to fraction form
    7,696.90/10,621.71 = 4,160.12/x
  3. Step 3: Cross multiply
    7,696.90x = 10,621.71 × 4,160.12
  4. Step 4: Simplify right side
    7,696.90x = 44,187,535.10
  5. Step 5: Solve for x
    x = 44,187,535.10/7,696.90
  6. Step 6: Final answer
    x = 5,740.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.